Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Gerhard Herden"'
Autor:
Gerhard Herden, Andreas Pallack
Publikováno v:
Applied General Topology, Vol 5, Iss 2, Pp 173-190 (2004)
Let “≤” be a continuous total preorder on some topological space (X, t). Then the cardinality or at least lower and upper bounds of the cardinality of the indifference (equivalence) classes of “≤ ” will be computed. In addition, the relev
Externí odkaz:
https://doaj.org/article/af290327a1464b3d944089e74db92d54
Autor:
Gianni Bosi, Gerhard Herden
Publikováno v:
Applied General Topology, Vol 3, Iss 2, Pp 145-167 (2002)
Let X be an arbitrary set. Then a topology t on X is completely useful if every upper semicontinuous linear preorder on X can be represented by an upper semicontinuous order preserving real-valued function. In this paper we characterize in ZFC (Zerme
Externí odkaz:
https://doaj.org/article/a2a69bf510f84742ae12e85fcf2f6394
Autor:
Gianni Bosi, Gerhard Herden
Publikováno v:
Journal of Mathematical Economics. 82:69-73
Let X be an arbitrary set. A topology t on X is said to be useful if every complete and continuous preorder on X is representable by a continuous real-valued order preserving function. It will be shown, in a first step, that there exists a natural on
Autor:
Gerhard Herden, Gianni Bosi
On the basis of the classical continuous multi-utility representation theorem of Levin on locally compact and σ -compact Hausdorff spaces, we present necessary and sufficient conditions on a topological space ( X , t ) under which every semi-closed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3379cfb49e68b9fdc2103c55540d7756
http://hdl.handle.net/11368/2855977
http://hdl.handle.net/11368/2855977
Autor:
Gianni Bosi, Gerhard Herden
Publikováno v:
Journal of Mathematical Economics. 48:212-218
Let ( X , t ) be a topological space. Then a preorder ≾ on ( X , t ) has a continuous multi-utility representation if there exists a family F of continuous and isotonic real-valued functions f on ( X , ≾ , t ) such that for all x ∈ X and all y
Autor:
Gianni Bosi, Gerhard Herden
Publikováno v:
Applied Categorical Structures. 16:629-651
In this paper the continuous utility representation problem will be discussed in arbitrary concrete categories. In particular, generalizations of the utility representation theorems of Eilenberg, Debreu and Estevez and Herves will be presented that a
Autor:
Gerhard Herden, Andreas Pallack
Publikováno v:
Journal of Mathematical Economics. 41:957-973
Let { P S } S ∈ S be a family of choice probabilities that are caused by compatible latent factors. Then, there should exist an underlying common probability measure that in some degree induces each choice probability P S . The problem of the exist
On a Strong Continuous Analogue of the Szpilrajn Theorem and its Strengthening by Dushnik and Miller
Autor:
Gianni Bosi, Gerhard Herden
Publikováno v:
Order. 22:329-342
Autor:
Ghanshyam B. Mehta, Gerhard Herden
Publikováno v:
Journal of Mathematical Economics. 40:747-769
In this paper we study the Debreu Gap Lemma and its generalizations to totally ordered sets more general than (R, less than or equal to). We explain why it is important in economics to study utility functions which may not be real-valued and we build
Publikováno v:
Journal für Mathematik-Didaktik. 25:3-32
In dieser Arbeit werden Moglichkeiten zur Integration von Lernprogrammen in den Mathematikunterricht der Sekundarstufen diskutiert. Dabei konzentrieren wir uns auf Lernprogramme, die unter dem Begriff „Hypermediar” zusammengefasst werden konnen.